4 research outputs found
Geroch--Kinnersley--Chitre group for Dilaton--Axion Gravity
Kinnersley--type representation is constructed for the four--dimensional
Einstein--Maxwell--dilaton--axion system restricted to space--times possessing
two non--null commuting Killing symmetries. New representation essentially uses
the matrix--valued formulation and effectively reduces the
construction of the Geroch group to the corresponding problem for the vacuum
Einstein equations. An infinite hierarchy of potentials is introduced in terms
of real symmetric matrices generalizing the scalar hierarchy of
Kinnersley--Chitre known for the vacuum Einstein equations.Comment: Published in ``Quantum Field Theory under the Influence of External
Conditions'', M. Bordag (Ed.) (Proc. of the International Workshop, Leipzig,
Germany, 18--22 September 1995), B.G. Teubner Verlagsgessellschaft,
Stuttgart--Leipzig, 1996, pp. 228-23
Rotating Stars in Relativity
Rotating relativistic stars have been studied extensively in recent years,
both theoretically and observationally, because of the information one could
obtain about the equation of state of matter at extremely high densities and
because they are considered to be promising sources of gravitational waves. The
latest theoretical understanding of rotating stars in relativity is reviewed in
this updated article. The sections on the equilibrium properties and on the
nonaxisymmetric instabilities in f-modes and r-modes have been updated and
several new sections have been added on analytic solutions for the exterior
spacetime, rotating stars in LMXBs, rotating strange stars, and on rotating
stars in numerical relativity.Comment: 101 pages, 18 figures. The full online-readable version of this
article, including several animations, will be published in Living Reviews in
Relativity at http://www.livingreviews.org
Black Holes in Higher Dimensions
We review black hole solutions of higher-dimensional vacuum gravity, and of
higher-dimensional supergravity theories. The discussion of vacuum gravity is
pedagogical, with detailed reviews of Myers-Perry solutions, black rings, and
solution-generating techniques. We discuss black hole solutions of maximal
supergravity theories, including black holes in anti-de Sitter space. General
results and open problems are discussed throughout.Comment: 76 pages, 14 figures; review article for Living Reviews in
Relativity. v2: some improvements and refs adde